83743 ÷ 9 = 9304 R7
Alright, let's work through the division of 83743 by 9 step by step.

Step 1:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 8 to get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 9

Step 2:
9 goes into 83 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 81 from 83 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 9

Step 3:
9 goes into 27 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 93
Subtract 27 from 27 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 9

Step 4:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 930
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

Step 5:
9 goes into 43 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 9304
Subtract 36 from 43 to get 7.

The final result is 9304 with a remainder of 7.